The solution to the inequality is that Mikey's family can drive at most 148
Inequality shows the non equal comparison of numbers or expressions.
Given that Mikey situation can be represented by the inequality:
112 + x ≤ 260
Solving the inequality:
112 + x ≤ 260
Subtract 112 from both sides of the equation:
112 + x - 112 ≤ 260 - 112
x ≤ 148
Hence from the inequality, we can see that Mikey's family can drive
at most 148
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(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.
<h3>What is a factor of a polynomial?</h3>
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial function f(x) = x³ - x² - 17x -15.
If (x - 5) is it's factor then f(5) = 0.
∴ f(x) = x³ - x² - 17x -15.
f(5) = 5³ - 5² - 17(5) - 15.
f(5) = 125 - 25 - 85 - 15.
f(5) = 0.
So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.
learn more about factor of a polynomial here :
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the diagram shows a regular dodecagon is the size of one interior angle
Answer:
15 m
Step-by-step explanation:
First split the shape into a square and a triangle, then find the area of the square by multipliyng the sides to get.
Next find the length of the traignel by subtracting 3 from 9 to get for then find the area of the triangle by multiplying 4 by 3 to get 12 then divide by 2 to get the area which is 6.
Finally add the 9 to the 6 to get 15
3 * 3 = 9
9 - 3 = 4
4 * 3 = 12/2 = 6
6+9=15
